2148416820 has 288 divisors, whose sum is σ = 7628100480. Its totient is φ = 483655680.

The previous prime is 2148416801. The next prime is 2148416833. The reversal of 2148416820 is 286148412.

2148416820 is a `hidden beast` number, since 214 + 8 + 416 + 8 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2793396 + ... + 2794164.

It is an arithmetic number, because the mean of its divisors is an integer number (26486460).

Almost surely, 2^2148416820 is an apocalyptic number.

2148416820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148416820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3814050240).

2148416820 is an abundant number, since it is smaller than the sum of its proper divisors (5479683660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2148416820 is a wasteful number, since it uses less digits than its factorization.

2148416820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2148416820 is about 46351.0174645606. The cubic root of 2148416820 is about 1290.3460041757.

The spelling of 2148416820 in words is "two billion, one hundred forty-eight million, four hundred sixteen thousand, eight hundred twenty".